{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
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    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# 佣金费用\n",
    "commission_rate_var = 0.00012\n",
    "# 过户费用\n",
    "transfer_fee_per_share_var = 0.001\n",
    "# 印花费用\n",
    "stamp_duty_rate_var = 0.0005\n",
    "# 最低佣金费用\n",
    "min_fee = 5\n",
    "\n",
    "# 计算购买时的费用百分比\n",
    "def calculate_buying_fee_percentage(total_amount, commission_rate=commission_rate_var, transfer_fee_per_share=transfer_fee_per_share_var):\n",
    "    commission = max(total_amount * commission_rate, min_fee)  # 佣金需满足最低限额\n",
    "    transfer_fee = transfer_fee_per_share * total_amount\n",
    "    total_fee = commission + transfer_fee\n",
    "    total_fee_percentage = total_fee / total_amount\n",
    "    return total_fee_percentage\n",
    "\n",
    "# 计算赎回时的费用百分比\n",
    "def calculate_redemption_fee_percentage(total_amount, commission_rate=commission_rate_var, transfer_fee_per_share=transfer_fee_per_share_var, stamp_duty_rate=stamp_duty_rate_var):\n",
    "    commission = max(total_amount * commission_rate, min_fee)  # 佣金需满足最低限额\n",
    "    transfer_fee = transfer_fee_per_share * total_amount\n",
    "    stamp_duty = total_amount * stamp_duty_rate\n",
    "    total_fee = commission + transfer_fee + stamp_duty\n",
    "    total_fee_percentage = total_fee / total_amount\n",
    "    return total_fee_percentage\n",
    "\n",
    "# 生成股价（总交易金额）范围，例如从1000元到100000元\n",
    "stock_prices = np.linspace(1000, 60000, 30000)\n",
    "\n",
    "# 计算不同股价下的购买费用百分比和赎回费用百分比\n",
    "buying_fees_percentage = [calculate_buying_fee_percentage(price) for price in stock_prices]\n",
    "redemption_fees_percentage = [calculate_redemption_fee_percentage(price) for price in stock_prices]\n",
    "\n",
    "# 总费用百分比（购买 + 赎回）\n",
    "total_fees_percentage = [buying + redemption for buying, redemption in zip(buying_fees_percentage, redemption_fees_percentage)]\n",
    "\n",
    "# 寻找费用占比不增不减的第1个点\n",
    "def find_stable_point(fees_percentage):\n",
    "    for i in range(1, len(fees_percentage)-1):\n",
    "        if abs(fees_percentage[i] - fees_percentage[i-1]) == 0 and abs(fees_percentage[i+1] - fees_percentage[i]) == 0:\n",
    "            return i\n",
    "    return None\n",
    "\n",
    "# 寻找每条曲线的稳定点\n",
    "stable_buying_point = find_stable_point(buying_fees_percentage)\n",
    "stable_redemption_point = find_stable_point(redemption_fees_percentage)\n",
    "stable_total_point = find_stable_point(total_fees_percentage)\n",
    "\n",
    "# 绘制购买和赎回费用的曲线图\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "# 绘制购买费用曲线\n",
    "plt.plot(stock_prices, buying_fees_percentage, label='购买费用百分比', color='blue')\n",
    "\n",
    "# 绘制赎回费用曲线\n",
    "plt.plot(stock_prices, redemption_fees_percentage, label='赎回费用百分比（包含印花税）', color='green')\n",
    "\n",
    "# 绘制总费用曲线\n",
    "plt.plot(stock_prices, total_fees_percentage, label='总费用百分比（购买+赎回）', color='red', linestyle='--')\n",
    "\n",
    "# 标注每条曲线的第一个稳定点\n",
    "if stable_buying_point is not None:\n",
    "    plt.text(stock_prices[stable_buying_point], buying_fees_percentage[stable_buying_point],\n",
    "             f'({stock_prices[stable_buying_point]:.0f}, {buying_fees_percentage[stable_buying_point]:.4f})',\n",
    "             color='blue', fontsize=10, verticalalignment='bottom')\n",
    "\n",
    "if stable_redemption_point is not None:\n",
    "    plt.text(stock_prices[stable_redemption_point], redemption_fees_percentage[stable_redemption_point],\n",
    "             f'({stock_prices[stable_redemption_point]:.0f}, {redemption_fees_percentage[stable_redemption_point]:.4f})',\n",
    "             color='green', fontsize=10, verticalalignment='bottom')\n",
    "\n",
    "if stable_total_point is not None:\n",
    "    plt.text(stock_prices[stable_total_point], total_fees_percentage[stable_total_point],\n",
    "             f'({stock_prices[stable_total_point]:.0f}, {total_fees_percentage[stable_total_point]:.4f})',\n",
    "             color='red', fontsize=10, verticalalignment='bottom')\n",
    "\n",
    "# 设置标题和标签\n",
    "plt.title('股价与购买和赎回费用百分比关系（包含印花税，最低佣金5元）', fontsize=14)\n",
    "plt.xlabel('股价 (总交易金额)', fontsize=12)\n",
    "plt.ylabel('费用百分比 (%)', fontsize=12)\n",
    "\n",
    "# 显示网格\n",
    "plt.grid(True)\n",
    "\n",
    "# 显示图例\n",
    "plt.legend()\n",
    "\n",
    "# 显示图表\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  }
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